Phil made a number line showing the multiples of 3/6... What is the product 2 x 3/6?

Find the LCM for 24 and 30 using the cake method

katrin2010 [14]

i think this answer is helpful for you, isn't it?

8 0

4 years ago

When was geometric sequence discovered and who made it

lord [1]

Geometric sequences are mostly found in Book IX of Elements by Euclid in 300 B.C. Euclid of Alexandria, a Greek mathematician also considered the "Father of Geometry" was the main contributor of this theory. Geometric sequences and series are one of the easiest examples of infinite series with finite sums. Geometric sequences and series have played an important role in the early development of calculus, and have continued to be a main case of study in convergence of series. Geometric sequences and series are used a lot in mathematics, and they are very important in physics, engineering, biology, economics, computer science, queuing theory, and finance. It was included in Euclid's book Elements that was part of a composition of other math theories for people that became very popular because it was the first collection that showed alot of the main math theories together featured simply.

6 0

3 years ago

1. (5pt) In a recent New York City marathon, 25,221 men finished and 253 dropped out. Also,

gladu [14]

Answer:

(a) Explained below.

(b) The 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

Step-by-step explanation:

The information provided is:

n (Men who finished the marathon) = 25,221

n (Women who finished the marathon) = 12,883

Compute the proportion of men and women who finished the marathon as follows:

$\hat p_{1}=\frac{25221}{25221 +253}=0.99\\\\\hat p_{2}=\frac{12883 }{12883+163}=0.988$

The combined proportion is:

$\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}\\\\=\frac{25221+12883}{38520}\\\\=0.989$

(a)

The hypothesis is:

H₀: The rate of those who finish the marathon is the same for men and women, i.e. p₁ - p₂ = 0.

Hₐ: The rate of those who finish the marathon is not same for men and women, i.e. p₁ - p₂ ≠ 0.

Compute the test statistic as follows:

$Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)\cdot [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}$

$=\frac{0.99-0.988}{\sqrt{0.989(1-0.989)\times[\frac{1}{25474}+\frac{1}{13046}]}}\\\\=1.78$

Compute the p-value as follows:

$p-value=2\times P(Z>1.78)\\\\=2\times 0.03754\\\\=0.07508\\\\\approx 0.075$

The p-value of the test is more than the significance level. The null hypothesis was failed to be rejected.

Thus, concluding that the rate of those who finish is the same for men and women.

(b)

Compute the 99% confidence interval for the difference between proportions as follows:

The critical value of z for 99% confidence level is 2.58.

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.99-0.988)\pm 2.58\times\sqrt{\frac{0.99(1-0.99)}{25474}+\frac{0.988(1-0.988)}{13046}}\\\\=0.002\pm 0.00294\\\\=(-0.00094, 0.00494)\\\\$

Thu, the 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

6 0

3 years ago

Use multiplication to check your answer in question #3. Show or explain all of your work.

serious [3.7K]

What is the equation?

8 0

3 years ago

Read 2 more answers

Bennett and his friends decide to go bowling. The cost for the group is $15 for shoe rentals plus $4.00 per game. a. How much wi

vampirchik [111]

8 for 2 games plus the shoe rentals (15)make it 23 for 2games
for 30$we can bowl a max of 3 games which will cost 27 $

8 0

3 years ago